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(Continuous) random variable, X has the density function f(x)={2(1x),0,for0x1elsewhere (a) Sketch
the graph of this p.d.f. (b) Determine and sketch the graph of the distribution function of X. (c) Find
i. P(0X0.5) ii. P(0.25X0.75) iii. P(X=0.75) iv. P(X0.75) (3+3+(4+4+2+2)=18marks)

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  • 1. do by handwriting (Continuous) random variable, X has the density function f(x)={2(1x),0,for0x1elsewhere (a) Sketch the graph of this p.d.f. (b) Determine and sketch the graph of the distribution function of X. (c) Find i. P(0X0.5) ii. P(0.25X0.75) iii. P(X=0.75) iv. P(X0.75) (3+3+(4+4+2+2)=18marks)